Question

practice d:
(first taught in
lesson 31)
find ( m angle ekd ).
after you enter your answer press go.
( m angle ekd = )

Explanation:

Step1: Draw a line parallel to \( EF \) and \( DG \) through point \( K \)

Let the line be \( MN \). Since \( EF\parallel MN\parallel DG \), then \( \angle EKM=\angle FEK = 52^{\circ} \) (alternate - interior angles) and \( \angle MKD=\angle KDG=33^{\circ} \) (alternate - interior angles)

Step2: Calculate \( \angle EKD \)

\( \angle EKD=\angle EKM+\angle MKD \)
\( \angle EKD = 52^{\circ}+33^{\circ} \)

Answer:

\(85^{\circ}\)